459216 has 40 divisors (see below), whose sum is σ = 1319360. Its totient is φ = 152928.

The previous prime is 459209. The next prime is 459223. The reversal of 459216 is 612954.

It is an interprime number because it is at equal distance from previous prime (459209) and next prime (459223).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2160) is a multiple of the sum of its prime factors (1080).

It is a self number, because there is not a number n which added to its sum of digits gives 459216.

It is a congruent number.

It is an unprimeable number.

459216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100 + ... + 963.

It is an arithmetic number, because the mean of its divisors is an integer number (32984).

2⁴⁵⁹²¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659680).

459216 is an abundant number, since it is smaller than the sum of its proper divisors (860144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

459216 is a wasteful number, since it uses less digits than its factorization.

459216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1068 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 459216 is about 677.6547793678. The cubic root of 459216 is about 77.1505459708.

It can be divided in two parts, 45 and 9216, that added together give a cube (9261 = 21³).

The spelling of 459216 in words is "four hundred fifty-nine thousand, two hundred sixteen".